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2028536352 = 25334354601
BaseRepresentation
bin111100011101001…
…0000001000100000
312020101001022202000
41320322100020200
513123301130402
6533142324000
7101161163103
oct17072201040
95211038660
102028536352
11951068427
12487429600
1326435908b
141535a673a
15bd14cc1c
hex78e90220

2028536352 has 96 divisors (see below), whose sum is σ = 6054269760. Its totient is φ = 660441600.

The previous prime is 2028536347. The next prime is 2028536413. The reversal of 2028536352 is 2536358202.

2028536352 is a `hidden beast` number, since 20 + 285 + 3 + 6 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20285363522 = 8229919462770935808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9852 + ... + 64452.

It is an arithmetic number, because the mean of its divisors is an integer number (63065310).

Almost surely, 22028536352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028536352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027134880).

2028536352 is an abundant number, since it is smaller than the sum of its proper divisors (4025733408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2028536352 is a wasteful number, since it uses less digits than its factorization.

2028536352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54663 (or 54649 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2028536352 is about 45039.2756602501. The cubic root of 2028536352 is about 1265.8850325734.

The spelling of 2028536352 in words is "two billion, twenty-eight million, five hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 3096 4128 4644 6192 9288 12384 18576 37152 54601 109202 163803 218404 327606 436808 491409 655212 873616 982818 1310424 1474227 1747232 1965636 2347843 2620848 2948454 3931272 4695686 5241696 5896908 7043529 7862544 9391372 11793816 14087058 15725088 18782744 21130587 23587632 28174116 37565488 42261174 47175264 56348232 63391761 75130976 84522348 112696464 126783522 169044696 225392928 253567044 338089392 507134088 676178784 1014268176 2028536352